R=2K which equals 2R=4K
4(R=K+8) or 4R=4K+32
Subtract first equation from second equation.
2R=32 so R=16
Plug into first equation
16=2K so K=8
Now plug both into second equation to check
4R-4K=4(R-K)=4(8)=32 it works
So Roberto is 16 and Katie is 8
(In 4 years R would be 20 and K would be 12 which has a difference of 8)
Answer:
-9
Step-by-step explanation:
with the equation y=mx+b, m equals the slope and b equals the y-intercept. whatever is in the place of m is the slope. in this case, -9.
Cereal A
10 ounces = $5.90
10/10 ounces = $5.90/10 .... divide both sides by 10
1 ounce = $0.59
1 ounce = 59 cents
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Cereal B
24 ounces = $6.48
24/24 ounces = $6.48/24 .... divide both sides by 24
1 ounce = $0.27
1 ounce = 27 cents
We see that Cereal B is the cheaper deal per ounce
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<h3>Answer: Cereal B is the better deal</h3>
Answer: 0.0304
Step-by-step explanation:
A z-test is a statistical test that is used to determine if two population means are different when the variances are known and the sample size is large. The test statistic is assumed to have a normal distribution, and nuisance parameters such as standard deviation should be known in order for an accurate z-test to be performed.
A z-statistic, also known as z-score, is a number representing how many standard deviations above or below the mean population a score derived from a z-test is.
Therefore,
sample size,n = 36
mean,u = 16 ounce
standard deviation,s = 0.2 pounds = 3.2 ounce
x = 15 ounce
z = (x-u) / (s/sqrt(n)) = -1.875
In conclusion, the probability that the amount dispensed by box will be increased is:
P(X<15) = P(Z<-1.875)
= 1 - P(Z<1.875)
= 1 - 0.9696
0.0304
The Answer is 0.0304.
49/60 - 3/20 = (49 - 3(3))/60 = (49 - 9)/60 = 40/60 = 4/6 = 2/3
Answer:
2/3
